Quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map in pseudo-Euclidean 4-space

DOI10.1016/J.GEOMPHYS.2016.03.023zbMath1341.53040arXiv1511.05684OpenAlexW2214839031MaRDI QIDQ295755

Velichka Milousheva, Nurettin Cenk Turgay

Publication date: 13 June 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.05684

zbMATH Keywords

pseudo-Euclidean spacefinite type Gauss mapLorentz surfaceparallel mean curvature vector fieldquasi-minimal surface

Mathematics Subject Classification ID

Local submanifolds (53B25) Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (4)

Differential Geometry of 1-type Submanifolds and Submanifolds with 1-type Gauss Map ⋮ Minimal ruled submanifolds associated with Gauss map ⋮ On the biconservative quasi-minimal immersions into semi-Euclidean spaces ⋮ Unnamed Item

Cites Work

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• Quasi-minimal rotational surfaces in pseudo-Euclidean four-dimensional space
• Meridian surfaces of elliptic or hyperbolic type with pointwise \(1\)-type Gauss map in Minkowski \(4\)-space
• Classification of Lorentzian surfaces with parallel mean curvature vector in \({\mathbb E}^4_2\)
• Submanifolds with parallel mean curvature vector in Riemannian and indefinite space forms
• Classification of ruled surfaces with pointwise 1-type Gauss map in Minkowski 3-space
• Classification of Lorentzian surfaces with parallel mean curvature vector in pseudo-Euclidean spaces
• Nonlinear Klein-Gordon equations and Lorentzian minimal surfaces in Lorentzian complex space forms
• Classification of marginally trapped surfaces of constant curvature in Lorentzian complex plane
• Classification of quasi-minimal surfaces with parallel mean curvature vector in pseudo-Euclidean 4-space \({\mathbb E}^4_2\)
• Addendum to ``classification of marginally trapped Lorentzian flat surfaces in \(\mathbb E_2^4\) and its application to biharmonic surfaces
• Complete classification of spatial surfaces with parallel mean curvature vector in arbitrary non-flat pseudo-Riemannian space forms
• Classification of quasi-minimal slant surfaces in Lorentzian complex space forms
• Ruled surfaces with pointwise 1-type Gauss map
• On the marginally trapped surfaces in 4-dimensional space-times with finite type Gauss map
• Classification of marginally trapped Lorentzian flat surfaces in \(\mathbb E^4_2\) and its application to biharmonic surfaces
• On the Gauss map of ruled surfaces in Minkowsi space
• SURFACES OF REVOLUTION WITH POINTWISE 1-TYPE GAUSS MAP
• COMPLETE CLASSIFICATION OF LORENTZ SURFACES WITH PARALLEL MEAN CURVATURE VECTOR IN ARBITRARY PSEUDO-EUCLIDEAN SPACE
• ON THE QUASI-MINIMAL SURFACES IN THE 4-DIMENSIONAL DE SITTER SPACE WITH 1-TYPE GAUSS MAP
• Classification of spatial surfaces with parallel mean curvature vector in pseudo-Euclidean spaces of arbitrary dimension
• Submanifolds with finite type Gauss map
• Submanifolds with Constant Mean Curvature
• CLASSIFICATIONS OF ROTATION SURFACES IN PSEUDO-EUCLIDEAN SPACE
• Classification of minimal Lorentz surfaces in indefinite space forms with arbitrary codimension and arbitrary index
• Erratum: “Classification of marginally trapped Lagrangian surfaces in Lorentzian complex space form” [J. Math. Phys. 48, 013509 (2007)]
• Marginally trapped surfaces with pointwise 1-type Gauss map in Minkowski 4-space
• General rotational surfaces with pointwise 1-type Gauss map in pseudo-Euclidean space \(\mathrm E_2^4\)

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